Investigate the taylor series below.

e^-x sin(x) = x-x²+x³/3-x⁵/30+o(x⁶)

Using Matlab, plot a graph with the addtion of the RHS function until the fifth power for the LHS funtion and show that for taylor expansion, higher power function increase the accuracy. Given the range of x-axis is 1 to 5 and y-axis is 0 to 1.